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A force F is given by F = at + bt^(2) , ...

A force `F` is given by `F = at + bt^(2)` , where `t` is time . What are the dimensions of `a and b`?

A

`MLT^(-3)` and `ML^(2) T^(-4)`

B

`MLT^(-3)` and `MLT^(-4)`

C

`MLT^(-1)` and `MLT^(0)`

D

`MLT^(-4)` and `MLT^(1)`

Text Solution

Verified by Experts

The correct Answer is:
B
(2) Dimensions of `F : MLT^(-2)`
`at : MLT^(-2) implies [a] = MLT^(-3)`
`bt^(2) : MLT^(-2) implies [b] = MLT^(-4)`
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